Least Common Multiple (LCM) of 133 and 177
The least common multiple (LCM) of 133 and 177 is 23541.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 133 and 177?
First, calculate the GCD of 133 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 177 = 0 remainder 133 |
| 2 | 177 ÷ 133 = 1 remainder 44 |
| 3 | 133 ÷ 44 = 3 remainder 1 |
| 4 | 44 ÷ 1 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 68 | 9452 |
| 32 and 85 | 2720 |
| 122 and 101 | 12322 |
| 163 and 194 | 31622 |
| 66 and 130 | 4290 |